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ISBN-10 : 0203402162
ISBN-13 :9780203402160
Author: I.K. Lifanov, L.N. Poltavskii, MG.M. Vainikko
A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and co
Chapter 1: Singular Integrals and Integral Equations
Chapter 2: Sobolev-Slobodetskii Spaces
Chapter 3: Hypersingular Integral Equations
Chapter 4: Neumann Problem and Integral Equations with Double Layer Potential
Chapter 5: Spaces of Fractional Quotients and Their Properties
Chapter 6: Discrete Operators in Quotient Spaces
Chapter 7. Stability of Discrete Operators in Quotient Spaces
Chapter 8: Asymptotic Estimates of the Discrete Green Function
Chapter 9: Quadrature Formulas for Singular and Hypersingular Integrals
Chapter 10: Numerical Analysis of Hypersingular Integral Equations
Chapter 11: Problems in Aerodynamics
Chapter 12: Some Problems of Physics
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Tags: Hypersingular, Integral Equations, Their Applications, Lifanov, Poltavskii, Vainikko
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